Answer: 10
Step-by-step explanation: 4x-9=31
4x=31+9
4x=40
4x/4=40/4
x=10
Answer: 10. 4(10)-9=31
Step-by-step explanation:
firstly, we would substitute the values given in the subset to the value of x and check which solves the equation.
When x= (-10),
4(-10) -9
= -40-9
=-49,
which does not equal 31, so it cannot be -10.
Similarly, when x=5.5,
4(5.5)-9
=22-9
= 13
which does not equal 31.
Thirdly, when x=9
4(9) -9
= 36-9
= 27
which does not equal 31.
Finally,
when x=10,
LHS 4(10)-9
=40-9
=31 RHS
Therefore x=10.
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Are the expressions 8a^2 - 4b + 7a^2 and 5(3a^2 - 2b) equivalent?
Write each expression using fewer terms. Show your work and/or explain your reasoning.
a) 12x - 3x
Answer:
The simplified version of this equation would be: 9x
12x and -3x are like terms, meaning all we have to do is subtract them as a normal equation to find that:
12x - 3x = 9x
Step-by-step explanation:
Two students fill the class fish tank with water. The fish tank holds six gallons of water. The two students each have a container that holds sixteen fluid ounces. How many times does each student need to fill the container to get a total of six gallons of water? Show all your mathematical thinking.
PLEASE HELPPPP
Answer:
24
they each will need to fill their bottle 24 times (48 times in total)
Step-by-step explanation:
There are 768 ounces in 6 gallons.
If each bottle carries 16 ounces in total to fill up the tank it would take 48 bottles. ( 48*16=768)
There is two students though, so you split it. (48/2=24)
Therefore each student need to fill there bottle 24 times to fill up the tank.
PLS HELP ME I NEED THIS HELP PLEASE its finding the theatrical event of a spinner. its a 10.3 big ideas if you ever done it i just need the answers. 16-20 PLEASE
Answer: im sorry
Step-by-step explanation:
PLEASE HELP IMMEDIATELY
Answer:
C
Step-by-step explanation:
Let's first swing the 1 over to the other side.
-3x<=6
Then, we multiply both sides by -3, switching the direction of the sign.
x>=-2
Because this is greater or equal to, this is a closed circle pointing right.
Therefore, the answer is C
Feel free to tell me if I did anything wrong! :)
Write each expression using fewer terms. Show your work and/or explain your reasoning.
c) 2x + 3y - 4x
Hello!
2x + 3y - 4x
= 2x - 4x + 3y
= -2x + 3y
= 3y - 2x
The value of a classic car produced in 1972 can be modeled by the function V (t) = 19.25t^2 -440t + 3500, where t is the number of years since 1972. Part A. In What year does the car's value start to increase? Part B. Will the car's will ever begin to decrease? Assume it follows its modeled value.
The value of a classic car produced in 1972 can be modeled by the given function, the car's value starts to increase after 12 years since 1972, which would be in the year 1972 + 12 = 1984.
To discover the year whilst the car's fee begins to increase, we want to determine the factor at which the spinoff of the function V(t) modifications from poor to advantageous. The spinoff represents the fee of alternate of the function.
V'(t) = 2 * 19.25t - 440
2 * 19.25t - 440 > 0
38.5t - 440 > 0
38.5t > 440
t > 440 / 38.5
t > 11.428
Since t represents the wide variety of years seeing that 1972, we round up to the closest whole variety, which gives us t > 12.
Therefore, the car's value starts to increase after 12 years since 1972, which would be in the year 1972 + 12 = 1984.
Since the equation for the automobile's fee, V(t), is a quadratic characteristic with a fine coefficient for the [tex]t^2[/tex] term (19.25), the parabola opens upwards.
Thus, this manner that the car's fee will in no way begin to lower but will maintain to growth or continue to be constant over the years in step with the modeled price.
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